Atkin-Lehner |
2- 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
20862ba |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-331326193451139072 = -1 · 220 · 315 · 192 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,166756,-8984865] |
[a1,a2,a3,a4,a6] |
Generators |
[65:1425:1] |
Generators of the group modulo torsion |
j |
703465871685993863/454494092525568 |
j-invariant |
L |
8.602002259548 |
L(r)(E,1)/r! |
Ω |
0.17415999070258 |
Real period |
R |
1.2347844968363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6954e1 |
Quadratic twists by: -3 |